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Finding the Fourth Proportional to 73,980.75, 102,093.80 and 40,446.75

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Solution

The fourth proportional to 73,980.75, 102,093.80 and 40,446.75 is: 55,816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,980.75 : 102,093.80 = 40,446.75 : x
  2. Step 2: Convert to fraction form
    73,980.75/102,093.80 = 40,446.75/x
  3. Step 3: Cross multiply
    73,980.75x = 102,093.80 × 40,446.75
  4. Step 4: Simplify right side
    73,980.75x = 4,129,362,202.92
  5. Step 5: Solve for x
    x = 4,129,362,202.92/73,980.75
  6. Step 6: Final answer
    x = 55,816.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.